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Finding the Fourth Proportional to 31,785.57, 43,865.00 and 17,639.33

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Solution

The fourth proportional to 31,785.57, 43,865.00 and 17,639.33 is: 24,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.57 : 43,865.00 = 17,639.33 : x
  2. Step 2: Convert to fraction form
    31,785.57/43,865.00 = 17,639.33/x
  3. Step 3: Cross multiply
    31,785.57x = 43,865.00 × 17,639.33
  4. Step 4: Simplify right side
    31,785.57x = 773,748,902.93
  5. Step 5: Solve for x
    x = 773,748,902.93/31,785.57
  6. Step 6: Final answer
    x = 24,342.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.